Factoring vs Completing the Square vs Quadratic Formula

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  • Опубликовано: 15 дек 2024

Комментарии • 192

  • @melissasellers6947
    @melissasellers6947 2 года назад +81

    Thanks!

  • @hellotheirgoodsir9291
    @hellotheirgoodsir9291 4 года назад +256

    i dont care if ive never met this guy in person before hes still the best teacher ive ever had

    • @alexvaldivia1855
      @alexvaldivia1855 3 года назад +3

      Now you probably haven't met your real teachers in person either lol

    • @brenwilliams03
      @brenwilliams03 3 года назад +6

      honestly tho, i love my math teacher but i learn better in 4 minutes here than within the whole week

    • @hellotheirgoodsir9291
      @hellotheirgoodsir9291 3 года назад

      @@brenwilliams03 fr

    • @rodrios2696
      @rodrios2696 9 месяцев назад

      Absolutely best math guy I have ever seen in my life

  • @ZainArtz
    @ZainArtz 4 года назад +42

    I just took my pre-calc final in my first semester, and thanks to your videos, I got 92% on the final exam. Your lessons are incredibly clear, engaging, and never fail to get the point across in the simplest yet most descriptive manner. I'll indefinitely be in your debt for helping me make it through this class and I hope that your lessons will come in help in calc next semester.

  • @potatotuna7988
    @potatotuna7988 4 года назад +34

    i’ve never actually figured out how to do the completing the square method but this finally helped me learn how to do it now luckily. good video

  • @ChangHPark
    @ChangHPark 3 года назад +71

    Awesome video again! Just a correction on the second question -- it is 23 not 33 :)

    • @ninjapanda0822
      @ninjapanda0822 Год назад +4

      I was just about to comment this cause it kept distracting me when he didn’t notice it

    • @opus_X
      @opus_X Год назад

      @@ninjapanda0822 same

  • @mathsandsciencechannel
    @mathsandsciencechannel 4 года назад +22

    Thank you from the bottom of my heart. You ave helped through the more than you will ever know! See you tomorrow. I love you.

  • @cesruhf2605
    @cesruhf2605 3 года назад +13

    5:00 It becomes 23 but basically the same throughout this equation

  • @mimsy5016
    @mimsy5016 4 года назад +16

    thank you! my exams are next week and i badly needed this!

  • @lucylunser2023
    @lucylunser2023 3 года назад +8

    this is exactly what I've been struggling with. I failed my algebra test due to not comprehending which method to use at the right time. I feel pretty confident with it now. THANK YOU

  • @kittendruid2706
    @kittendruid2706 2 года назад +1

    my professor in college doesn't do lectures so I'm generally left to my own ability to try and figure things out, i have been trying to understand quadratics for 2 weeks for my test tomorrow and this has helped me so much. thank you, this is the first time i have ever had and felt any form of clarity for quadratics! thank you so much!

  • @uspedregulho
    @uspedregulho 4 года назад +30

    Ayo, 100-77 isnt 33?

    • @dalhosani7993
      @dalhosani7993 9 месяцев назад

      No it will be 110 100-33= 23

  • @kevincrawford6864
    @kevincrawford6864 3 года назад +2

    Every algebra/calc class should start out with this explanation, It would help students out immensely.

  • @Peacefullsound1
    @Peacefullsound1 4 года назад +5

    all of this learned in 10 mins.... which is absolutely awesome. I'm taking a pre calc course at a Junior college and it is so hard to understand there old ass MyMathLab videos that are older than my grandmother... Keep up the good work and I've definitely subscribed.

  • @elixirpolish5519
    @elixirpolish5519 3 года назад

    You really are one of the best math teachers ive ever had ! ive forgotten math from 10 yrs ago and re-jogging my memory to tutor someone. You make it so easy to understand and remember all the rules/techniques. All your videos are online and recorded which makes me really question why it is so hard for HS teachers to do remote learning during covid. If you can do it on youtube why cant they do it on zoom? Now the kids refusing to pay attention...that happens in an in-person class too and theres nothing you can do.

  • @wagnerjones75
    @wagnerjones75 3 года назад +3

    Love the explanation when it's too challenging for me to solve right off the top I would go with the quadratic formula. Thank you soooo much for making this video. AWESOME INSTRUCTOR!

  • @jkflan1335
    @jkflan1335 4 года назад +3

    I just watched your video on slop intercepts, I have been learning it for two weeks and have 4 assignments due before my quiz tomorrow and I had no idea. Your vid helped me a lot thanks

  • @jays7761
    @jays7761 2 года назад +6

    Today I learned: 100 - 33 = 77 Best math teacher ever.

  • @ericalissette2078
    @ericalissette2078 Год назад

    I wish i found your videos years ago. I am retaking college Algebra and i have my unit one exam tomorrow. My professor os great, but your video's are an added bounus to help me. I am also going back to the basics to fine tune my factoring because i struggle with the basics at times.

  • @mrswaxler
    @mrswaxler Год назад

    Thank you so much Mr. Brogan! We are homeschooling and sometimes Saxon math doesn’t explain WHY you need to do something! But you did and I appreciate it!!

  • @fixyourkdkid308
    @fixyourkdkid308 4 года назад +1

    You dont know how much you have helped me and how much your going to help me the rest of they year, thank you so much hope you and your family stay safe happy holidays

  • @neonpenguin0948
    @neonpenguin0948 3 года назад +9

    So for the completing the square it is actually 23 not 33 because 100-77 is 23 but I totally understand how you could get that wrong. I actually saw a meme that was like: “Society is 77+33=100” and it was like a futuristic picture. Just for anyone confused about that. 👍😃

    • @liutprando7674
      @liutprando7674 3 года назад

      “Society if 77+33=100”
      “Futuristic city”

    • @neonpenguin0948
      @neonpenguin0948 3 года назад +1

      @@liutprando7674 NO WAY!!! you found the meme, thx dude

  • @gavincraig4833
    @gavincraig4833 4 года назад +2

    Thanks! My midterm has this next week!

  • @najeewashington6234
    @najeewashington6234 2 года назад

    I'm a freshman taking Algebra 1 right now, and I have a 8 question quiz today, and I watched your video, and I love it! It is so simple to understand and straight to the point, and I would rather do factoring first, just because it is way more simple to understand 😅. However, I love your videos and they really help, so thank you for the help!! You're a really big inspiration for my math career in the future 😁.

  • @sarah-gn7lq
    @sarah-gn7lq 3 года назад +1

    Thank you, I was in tears

  • @yumitama3092
    @yumitama3092 3 года назад

    Stuggled which methods to use. Your explanations are clear and understanding. Thank you!!!

  • @BearcatJV
    @BearcatJV Год назад

    this is great. I've been trying to figure the reason for these out all semester.

  • @Theeverydayguy_2005
    @Theeverydayguy_2005 2 года назад +1

    From india 🇮🇳, loved your explanation.

  • @jayleennuokus2373
    @jayleennuokus2373 3 года назад

    Thank you so much for this video I have a test soon and I just needed the concepts to push in my head !

  • @IsHemu
    @IsHemu 4 года назад +2

    damn this really helped you posted this on time for my test tomorrow you came in clutch THANK YOU!!!

  • @leggyladdie
    @leggyladdie 3 года назад +1

    You are the only thing keeping me from failing my algebra class right now... why couldn't I just get geometry again ;-;

  • @amorcheskanavalta8899
    @amorcheskanavalta8899 4 года назад +1

    sir Brian I wish ur my teacher I always learn fast on you 😌😌

  • @vedants.vispute77
    @vedants.vispute77 4 года назад +1

    Very helpful 👍 So now I can say that I became good to complete the square 🙏 Love from India.
    Thank you sir!

  • @michaelmarshall8425
    @michaelmarshall8425 2 года назад +2

    5:00 23, not 33

  • @Mk_xX
    @Mk_xX 2 года назад

    This guy is the goat foreal
    He simplified everything in

  • @mishalnooruddin2763
    @mishalnooruddin2763 2 года назад

    Brian u are a life saver

  • @davidhuynh3393
    @davidhuynh3393 2 года назад

    Damn, need that good refresher! Thank you!

  • @missoss
    @missoss 2 года назад

    This video saving lives...

  • @EveryonesYouniversE
    @EveryonesYouniversE 5 месяцев назад

    Not for nothin 100-77=23 so that final answer is x+-10 square root 23 (second equation) still I’m grateful for the way you break things down. Can’t be perfect all the time. From content creator to content creator I recommend re-watching your videos before posting

  • @coldsjab7185
    @coldsjab7185 4 года назад +8

    Is my calculation wrong or 100-77 is 33 cause for me its 23

    • @matawie
      @matawie 3 года назад

      Thinking the same, maby im missing something

    • @EyeIn_The_Sky
      @EyeIn_The_Sky 3 года назад +1

      it is just a mistake, you are correct 100 - 77 = 23

    • @EyeIn_The_Sky
      @EyeIn_The_Sky 3 года назад +1

      @@matawie you are not missing anything, it was a mistake

  • @Possibly_Hawkins
    @Possibly_Hawkins Год назад

    Thank you mathematical Mr. Clean

  • @Abbassis15
    @Abbassis15 2 года назад

    beautiful , well explained

  • @fritzgunthertuliao3203
    @fritzgunthertuliao3203 2 года назад

    Very well explained

  • @sambok3497
    @sambok3497 2 года назад

    THANK YOU MAN! 😭😭😭

  • @ArcadeMaster
    @ArcadeMaster 4 года назад

    If it can be factored always do that as your first step, if there is no coefficient on the squared term and the middle term is even completing square, the rest would use quadratic formula for me but others may like different things

  • @mrammosrich3789
    @mrammosrich3789 3 года назад

    Was looking for this. Thanks!

  • @whoff59
    @whoff59 9 месяцев назад

    Okay, there is this tiny error with 100 minus 33 ...
    But it is still a very good overview of how to use the different methods of how to solve quadratic equatons !!!

  • @emiliovillarreal9068
    @emiliovillarreal9068 4 года назад +2

    Nice!

  • @ChavoMysterio
    @ChavoMysterio 4 года назад

    Also, from my experience in high school, I first learned about the quadratic formula in Geometry.

  • @georgeweng8972
    @georgeweng8972 4 года назад

    Square root is the basic one. formula comes from it and make it easy for people to use ( no need to step by step ). factoring comes from square root, too. we can say we make square root first and move the roots to the other side to make factors(=0)

  • @mollyyeahyeah
    @mollyyeahyeah 2 года назад

    I love the factoring method.

  • @alihasani648
    @alihasani648 2 года назад

    I'll like to use completing the squares normally as I'm doing it for a long time but factoring is also a good option

  • @lexigrubb2554
    @lexigrubb2554 Год назад

    Bro taught this better in 10 mins than my teacher did in a whole week

  • @tommii3188
    @tommii3188 3 года назад +1

    awesome video 5:00 its 23

  • @aaatheslimking7576
    @aaatheslimking7576 2 года назад

    Great video thanks!

  • @smokeybear4266
    @smokeybear4266 4 года назад +2

    Thank you for the math information Mr. McLogan, but I have a question, do you have a proper sprinkler system installed in your school? If not, follow up question, are you near a forest? If not, it's ok if you don't. Just remember. Only you can prevent forest fires.

  • @jullianevacunador7905
    @jullianevacunador7905 3 года назад +3

    Am i the only one who notice that 100 - 77 is supposed to be 23 and not 33?

    • @borowczyk76
      @borowczyk76 3 года назад +2

      Yes! It’s driving me crazy!!! I can’t believe it’s not half of the comments.

  • @Zain.A.
    @Zain.A. 4 года назад

    This is so good for kindergarteners! liked and subbed, mister!!!

  • @joshhfrmx
    @joshhfrmx 4 года назад +2

    100 minus 77 is NOT 33, its 23

  • @aleshakelly3913
    @aleshakelly3913 4 года назад

    This really helped! Thx!

  • @OptimalOpinion
    @OptimalOpinion 3 года назад

    PLZ do the Completing the Square for the last example of Quadratic Formula

  • @MosMoses-h8t
    @MosMoses-h8t 11 месяцев назад

    You save me always thank you

  • @ChavoMysterio
    @ChavoMysterio 4 года назад

    Factoring
    -x^2-3x+4=0
    x^2+3x-4=0
    (x+4)(x-1)=0
    x+4=0
    x=-4
    x-1=0
    x=1

  • @cpsk-bz7jz
    @cpsk-bz7jz 4 года назад

    please do one with simultaneous equations. whether its substitution, multiplication etc

  • @shannon8254
    @shannon8254 4 года назад

    Brian, if you are unable to FOIL the quadratic equations (numbers are too high), would it be best to use the Quadratic Formula?

  • @NexushasTaken
    @NexushasTaken Год назад

    Solving quadratic formulas is the hardest topic for me.

  • @Grid_01
    @Grid_01 3 года назад +1

    Is it ok to use the quadratic formula instead of factoring and completing the square even if its easier?cuz the only 1 i know is the quadratic formula...

  • @contemporarilyancient
    @contemporarilyancient 2 года назад

    There is also another silly way of solving quadratics.
    The discriminant method
    x² -x -2 = 0
    x = 1 ± sqrt[(-1)² - 4(1)(-2)]/2(1)
    x = 1 ± sqrt(9)/2
    x = 1 ± 3/2
    x = 1 + 3/2 = 2
    x = 1 - 3/2 = -1
    And now we can ofcourse factor it and flip the signs
    for the answers.
    (x + 1)(x - 2) = 0
    x = -1
    x = 2
    This is basically brute forcing the quadratic formula to produce factors but it is useful when you only have to find factors of hard quadratics.
    Solving using factoring
    x² - x + 2 = 0
    (x + 1)(x - 2) = 0
    x = -1
    x = 2
    Using completing the square
    Don' t use it for this example the results might get a bit fractional.

  • @ChavoMysterio
    @ChavoMysterio 4 года назад +1

    If the quadratic equation is not factorable, the leading coefficient is one and the second coefficient is even, then I complete the square. If it's not factorable, the leading coefficient is one and the second coefficient is odd, then I use the quadratic formula.
    x=[-b±√(b^2-4ac)]/2a

    • @brianmclogan
      @brianmclogan  4 года назад +1

      I am with you, I decided to not got that detailed into it but with you

  • @ibrahimshukri9842
    @ibrahimshukri9842 4 года назад

    My favorite technique is Factoring.

  • @Wolf-zh3nt
    @Wolf-zh3nt 4 года назад +1

    I just took a test and u gave me an answer lol thx (I won't tell the teacher)

  • @dksports469
    @dksports469 3 года назад

    U R my legend thank you so much

  • @garetholesco
    @garetholesco 3 года назад

    I really admire this man as a teacher he’s so great! My personal fav is completing the square..just wanna share that

  • @ananyavishwas7455
    @ananyavishwas7455 4 года назад +1

    cts method was tough until now

  • @davidvaquerano7968
    @davidvaquerano7968 4 года назад

    It's so much easier to not factor out the negative - (For the first problem) Just Factor

  • @theophonchana5025
    @theophonchana5025 3 года назад

    #QuadraticEquation #factoring #factor

  • @theophonchana5025
    @theophonchana5025 3 года назад

    b^(2) - 4ac = -31

  • @theophonchana5025
    @theophonchana5025 3 года назад

    2x^(2) - 5x - 7 = 0
    x = (5 + sqrt (-31)) ÷ 4
    x = error

  • @beanito5438
    @beanito5438 4 года назад +1

    hey shawty

  • @iamadamselindistress4969
    @iamadamselindistress4969 3 года назад

    I LOVE U JFJDJ$JFDJFKEFKEFJ U HAVE BEEN HELPING ME SINCE ALGEBRA 1 AND NOW IM IN ALGEBRA 2

  • @pyrodex1123
    @pyrodex1123 4 года назад +1

    Really posted this the day after my exam on this :(

    • @brianmclogan
      @brianmclogan  4 года назад +3

      ohhh no, sorry

    • @pyrodex1123
      @pyrodex1123 4 года назад +2

      @@brianmclogan that;'s all right though your older videos have helped me loads :D

  • @chocolateangel8743
    @chocolateangel8743 3 года назад

    When possible, factoring is cool, but I prefer using the Singaporean method. It's easier for me to see that way. I also like Completing The Square, but when I do it, I use an area model. When the middle term is odd, I often multiply the whole equation by something first, so I won't have to deal with fractions. This approach is what Dr. James Tanton calls the Quadrus method. The Quadratic Formula is my least favorite. I find all the reduction annoying.

  • @moeezurrahman1824
    @moeezurrahman1824 4 года назад

    YOUR INVITED TO MY GRADUATION

  • @dragonprincess1123
    @dragonprincess1123 3 года назад +1

    Why don't all of the techniques give the same answer? As in, if I factor a trinomial, but want to check and see if I did it correctly by using the Quadratic Equation, why do I get different root values? For some reason, the signs reverse and I don't understand it.

    • @datweetee1
      @datweetee1 3 года назад

      Supposed to get same answer no matter which way you solve it.. for his 3rd example, I had the same issue.. I actually did completing the square and used the vertex form to solve for x.. what I got was x= 5/2 +- sqrt(11/4).. don't know where I went wrong

  • @r.uthere.6201
    @r.uthere.6201 2 года назад

    I think using the quadratic formula is much easier and safer too use then just trying to factor out in your head.

  • @dinovassiliades9597
    @dinovassiliades9597 2 года назад

    cheers

  • @anushkavashisth4336
    @anushkavashisth4336 Год назад

    Algebra test tomorrow revising at the last moment GOD I BADLY NEED TO PASS

  • @akhilakella8325
    @akhilakella8325 2 года назад +1

    BTW, (100 - 77) is 23, not 33

  • @theophonchana5025
    @theophonchana5025 3 года назад

    #trinomial #polynomial

  • @oogmoney
    @oogmoney Год назад

    thank you big math daddy

  • @ellau6770
    @ellau6770 4 года назад

    the third equation has no solutions because the discriminate is negative
    D=25-56=-29
    Within real numbers, the square root of a negative number cannot be extracted

  • @renz_animetion7714
    @renz_animetion7714 4 года назад

    Ammm hiii have a question how do you solve this one (x²-8x+k) sqm

  • @fatemehsadatjohari9953
    @fatemehsadatjohari9953 4 года назад

    Which grade does the students start learning this?

  • @melissasellers6947
    @melissasellers6947 2 года назад

    I wish you worked at my daughter's school!

  • @georgeweng8972
    @georgeweng8972 4 года назад +2

    100-77=23,

  • @ChavoMysterio
    @ChavoMysterio 4 года назад

    The quadratic formula is also the best and easiest way to solve a word problem.

  • @theformerknights8538
    @theformerknights8538 3 года назад +1

    23, though, right?

    • @davutsauze8319
      @davutsauze8319 3 года назад

      Yep. Great Mathematicians' mistakes are often the smaller ones

  • @ryanfelix8676
    @ryanfelix8676 4 года назад +1

    can somebody help me with that: A farmer sold 500 oranges, the big at 40 cents and the small at 25 cents each. The money he received from the sale of the big ones was $70 more than what he made from the small ones. Calculate how many big oranges the farmer sold.
    i know how to solve them but writing it in word can sometimes be difficult for me

  • @janetho6145
    @janetho6145 4 года назад

    i need help with 2(a - 8) _> -2a
    (pretend the _> are on top of eachother).

  • @theophonchana5025
    @theophonchana5025 3 года назад

    a = 2
    b = -5
    c = 7

  • @dudeguy_3336
    @dudeguy_3336 2 года назад

    9x^2+9x−10=0? this equation had me scratchin my head.